Question

The diagram below shows the top view of a circular deck surrounding a circular hot tub. What is the area of the deck? Round your answer to the nearest tenth. Use 3.14 for pi.

Answer 1

The diameter of the circular hot tub, D=5.4 m.

The width of the circular deck, t=2.2 m.

The radius of the hot tub is,

`r=(D)/(2)=(5.4)/(2)=2.7`

The radius of the circular deck,

`R=r+t=2.7+2.2=4.9`

The area of the deck can be calculated as,

`\begin{gathered} A=\pi(R^2-r^2) \\ A=\pi(4.9^2-2.7^2) \\ A=3.14*(24.01-7.29) \\ A=52.5m^2 \end{gathered}`

Therefore, the area of the deck is 52.5 square meters.